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Which function is shown in the graph?

A. y = | x | + 4

B. y = | x + 4 |

C. y = | x | - 4

D. y = | x - 4 |

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Below is a process to solve the problem:

## Explanation:

We can first eliminate certain functions by evaluating their capabilities.

x =

According to the graph,, should yield a result of

4

Equation 1:y = abs(0) – 4 = 4

It is still possible

Equation 2:y = abs(0) + 4) = 4

It is still possible

Equation 3:y = ABS(0) – 4 =

This one is a no-no.

Equation 4:y = abs(0) – 4) = Abs(-4) =

It is still possible

Next, we will evaluate the remaining functions.

x = 4

This should result in

0

Equation 1:y = abs(4) – 4 = 8

This one is a no-no.

Equation 2:y = abs(4) + 4) =

This one is a no-no.

Equation 4:y = abs(4) = abs(0) =

This is the one!We would have chosen

x = 4

First, we would have still needed to test another value. Equation 3 would have been evaluated as:

Equation 3:y = ABS(4) – 4 =

It would have been possible.